A∠ 1 and ∠ 5, ∠ 2 and ∠ 6, ∠ 3 and ∠ 7, ∠ 4 and ∠ 8
B∠ 2 and ∠ 8, ∠ 3 and ∠ 5,
C∠ 1 and ∠ 3, ∠ 2 and ∠ 4, ∠ 5 and ∠ 7, ∠ 6 and ∠ 8
D∠ 1 and ∠ 7, ∠ 4 and ∠ 6,
Practice makes perfect
We are given the graph of two lines cut by a transversal. As a result, eight different angles formed.
We are asked to name a pair of corresponding angles. Let's remember that corresponding angles are angles that lie in the same position in relation to the transversal. There are four such pairs of angles in the graph.
We marked each pair of corresponding angles with the same color. Let's now list these pairs.
∠ 1 and ∠ 5, ∠ 2 and ∠ 6,
∠ 3 and ∠ 7, ∠ 4 and ∠ 8
Alternate interior angles are angles that lie between the lines on opposite sides of the transversal. Notice that there are only four interior angles in the graph, angles 2, 3, 5, and 8. As a result, there are two pairs of alternate interior angles.
We can now list these pairs.
∠ 2 and ∠ 8, ∠ 3 and ∠ 5
We are asked to list a pair of vertical angles in the following graph.
By definition, two angles are vertical if they are formed at opposite sides of a point of intersection. Notice that there are two points of intersection in the graph. Also, at each point there are two pairs of vertical angles. This gives four pairs in total. Let's mark them.
Here is a list of all pairs of vertical angles.
∠ 1 and ∠ 3, ∠ 2 and ∠ 4,
∠ 5 and ∠ 7, ∠ 6 and ∠ 8
Last, we want to name a pair of angles that are alternate exterior angles. These are angles that lie outside the lines on opposite sides of the transversal. Let's mark them on our graph!
This gives us the following list of alternate exterior angles.
∠ 1 and ∠ 7, ∠ 4 and ∠ 6
